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153005452320116 = 2211192910162485789
BaseRepresentation
bin100010110010100001011011…
…101000100101110101110100
3202001202011211001020121222202
4202302201123220211311310
5130023320131243220431
61301225422345444032
744141164513026464
oct4262413350456564
9661664731217882
10153005452320116
114483027aa99820
12151b15944a0618
13674b476b57426
1429ad7094b7ba4
1512a50526758cb
hex8b285ba25d74

153005452320116 has 96 divisors (see below), whose sum is σ = 321226949232000. Its totient is φ = 62985674304000.

The previous prime is 153005452320113. The next prime is 153005452320163. The reversal of 153005452320116 is 611023254500351.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 153005452320116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153005452320113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28794251 + ... + 33691538.

It is an arithmetic number, because the mean of its divisors is an integer number (3346114054500).

Almost surely, 2153005452320116 is an apocalyptic number.

It is an amenable number.

153005452320116 is an abundant number, since it is smaller than the sum of its proper divisors (168221496911884).

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

153005452320116 is a wasteful number, since it uses less digits than its factorization.

153005452320116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62485953 (or 62485951 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 153005452320116 in words is "one hundred fifty-three trillion, five billion, four hundred fifty-two million, three hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 101 116 202 209 319 404 418 551 638 836 1102 1111 1276 1919 2204 2222 2929 3838 4444 5858 6061 7676 11716 12122 21109 24244 32219 42218 55651 64438 84436 111302 128876 222604 612161 1224322 2448644 62485789 124971578 249943156 687343679 1187229991 1374687358 1812087881 2374459982 2749374716 3624175762 4748919964 6311064689 7248351524 12622129378 13059529901 19932966691 25244258756 26119059802 34429669739 39865933382 52238119604 68859339478 69421711579 79731866764 119910229091 137718678956 138843423158 183020875981 239820458182 277686846316 366041751962 378726367129 479640916364 732083503924 757452734258 1319012520001 1514905468516 2013229635791 2638025040002 3477396643639 4026459271582 5276050080004 6954793287278 8052918543164 13909586574556 38251363080029 76502726160058 153005452320116