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153064305136880 = 24523257587551423
BaseRepresentation
bin100010110011011000001111…
…100010010001010011110000
3202001221210201121012111011222
4202303120033202101103300
5130030301144103340010
61301312434313524212
744145350112514604
oct4263301742212360
9661853647174158
10153064305136880
1144853230965065
1215200a7a113668
136753b95a23667
1429b24cd869504
1512a6849322355
hex8b360f8914f0

153064305136880 has 160 divisors (see below), whose sum is σ = 373428003078144. Its totient is φ = 58236374417408.

The previous prime is 153064305136877. The next prime is 153064305136901. The reversal of 153064305136880 is 88631503460351.

It is a super-2 number, since 2×1530643051368802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277304849 + ... + 277856271.

Almost surely, 2153064305136880 is an apocalyptic number.

153064305136880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153064305136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186714001539072).

153064305136880 is an abundant number, since it is smaller than the sum of its proper divisors (220363697941264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153064305136880 is a wasteful number, since it uses less digits than its factorization.

153064305136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552303 (or 552297 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 153064305136880 in words is "one hundred fifty-three trillion, sixty-four billion, three hundred five million, one hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 257 368 460 514 587 920 1028 1174 1285 1840 2056 2348 2570 2935 4112 4696 5140 5870 5911 9392 10280 11740 11822 13501 20560 23480 23644 27002 29555 46960 47288 54004 59110 67505 94576 108008 118220 135010 150859 216016 236440 270020 301718 472880 540040 551423 603436 754295 1080080 1102846 1206872 1508590 2205692 2413744 2757115 3017180 3469757 4411384 5514230 6034360 6939514 8822768 11028460 12068720 12682729 13879028 17348785 22056920 25365458 27758056 34697570 44113840 50730916 55516112 63413645 69395140 101461832 126827290 138790280 141715711 202923664 253654580 277580560 283431422 323685301 507309160 566862844 647370602 708578555 1014618320 1133725688 1294741204 1417157110 1618426505 2267451376 2589482408 2834314220 3236853010 3259461353 5178964816 5668628440 6473706020 6518922706 7444761923 11337256880 12947412040 13037845412 14889523846 16297306765 25894824080 26075690824 29779047692 32594613530 37223809615 52151381648 59558095384 65189227060 74447619230 83187122357 119116190768 130378454120 148895238460 166374244714 260756908240 297790476920 332748489428 415935611785 595580953840 665496978856 831871223570 1330993957712 1663742447140 1913303814211 3327484894280 3826607628422 6654969788560 7653215256844 9566519071055 15306430513688 19133038142110 30612861027376 38266076284220 76532152568440 153064305136880