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32157148416 = 28388147527
BaseRepresentation
bin11101111100101101…
…110010010100000000
310002000002100101200220
4131330231302110000
51011324212222131
622434531143040
72215612152201
oct357455622400
9102002311626
1032157148416
1112701965618
126295444a80
133056271c93
1417b0b2d5a8
15c831cde96
hex77cb72500

32157148416 has 72 divisors (see below), whose sum is σ = 85683858624. Its totient is φ = 10706657280.

The previous prime is 32157148399. The next prime is 32157148487. The reversal of 32157148416 is 61484175123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652845 + ... + 700371.

It is an arithmetic number, because the mean of its divisors is an integer number (1190053592).

Almost surely, 232157148416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32157148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42841929312).

32157148416 is an abundant number, since it is smaller than the sum of its proper divisors (53526710208).

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

32157148416 is an equidigital number, since it uses as much as digits as its factorization.

32157148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48427 (or 48413 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 32157148416 in words is "thirty-two billion, one hundred fifty-seven million, one hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 881 1762 2643 3524 5286 7048 10572 14096 21144 28192 42288 47527 56384 84576 95054 112768 142581 169152 190108 225536 285162 338304 380216 570324 676608 760432 1140648 1520864 2281296 3041728 4562592 6083456 9125184 12166912 18250368 36500736 41871287 83742574 125613861 167485148 251227722 334970296 502455444 669940592 1004910888 1339881184 2009821776 2679762368 4019643552 5359524736 8039287104 10719049472 16078574208 32157148416