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75120473088 = 21034905677
BaseRepresentation
bin100010111110110000…
…1110111010000000000
321011220021102102110000
41011331201313100000
52212321320114323
654302044240000
75266361325423
oct1057541672000
9234807372400
1075120473088
1129949604311
1212685840000
13711223759b
1438c8ab79ba
151e49e12e43
hex117d877400

75120473088 has 110 divisors (see below), whose sum is σ = 224324666786. Its totient is φ = 25040130048.

The previous prime is 75120473083. The next prime is 75120473093. The reversal of 75120473088 is 88037402157.

It is an interprime number because it is at equal distance from previous prime (75120473083) and next prime (75120473093).

It can be written as a sum of positive squares in only one way, i.e., 60068127744 + 15052345344 = 245088^2 + 122688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75120473083) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 369895 + ... + 535782.

Almost surely, 275120473088 is an apocalyptic number.

It is an amenable number.

75120473088 is an abundant number, since it is smaller than the sum of its proper divisors (149204193698).

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

75120473088 is an equidigital number, since it uses as much as digits as its factorization.

75120473088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905709 (or 905682 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75120473088 in words is "seventy-five billion, one hundred twenty million, four hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 905677 1811354 2717031 3622708 5434062 7245416 8151093 10868124 14490832 16302186 21736248 24453279 28981664 32604372 43472496 48906558 57963328 65208744 73359837 86944992 97813116 115926656 130417488 146719674 173889984 195626232 231853312 260834976 293439348 347779968 391252464 463706624 521669952 586878696 695559936 782504928 927413248 1043339904 1173757392 1391119872 1565009856 2086679808 2347514784 2782239744 3130019712 4173359616 4695029568 6260039424 8346719232 9390059136 12520078848 18780118272 25040157696 37560236544 75120473088