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152311390080 = 2735103770183
BaseRepresentation
bin1000110111011001110…
…1110101111110000000
3112120010211202021222120
42031312131311332000
54443413203440310
6153545413404240
714001263311563
oct2156635657600
9476124667876
10152311390080
115965a899793
1225628939680
13114943b1ab5
14752c7464da
153e669a0b70
hex2376775f80

152311390080 has 128 divisors (see below), whose sum is σ = 490206712320. Its totient is φ = 40221984768.

The previous prime is 152311390009. The next prime is 152311390081. The reversal of 152311390080 is 80093113251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×1523113900804 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152311390081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187332 + ... + 582851.

It is an arithmetic number, because the mean of its divisors is an integer number (3829739940).

Almost surely, 2152311390080 is an apocalyptic number.

152311390080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152311390080 is an abundant number, since it is smaller than the sum of its proper divisors (337895322240).

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

152311390080 is a wasteful number, since it uses less digits than its factorization.

152311390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770308 (or 770296 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 152311390080 in words is "one hundred fifty-two billion, three hundred eleven million, three hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 309 320 384 412 480 515 618 640 824 960 1030 1236 1545 1648 1920 2060 2472 3090 3296 4120 4944 6180 6592 8240 9888 12360 13184 16480 19776 24720 32960 39552 49440 65920 98880 197760 770183 1540366 2310549 3080732 3850915 4621098 6161464 7701830 9242196 11552745 12322928 15403660 18484392 23105490 24645856 30807320 36968784 46210980 49291712 61614640 73937568 79328849 92421960 98583424 123229280 147875136 158657698 184843920 237986547 246458560 295750272 317315396 369687840 396644245 475973094 492917120 634630792 739375680 793288490 951946188 1189932735 1269261584 1478751360 1586576980 1903892376 2379865470 2538523168 3173153960 3807784752 4759730940 5077046336 6346307920 7615569504 9519461880 10154092672 12692615840 15231139008 19038923760 25385231680 30462278016 38077847520 50770463360 76155695040 152311390080