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96468192909520 = 2451767416822709
BaseRepresentation
bin10101111011110011000000…
…010111101101100011010000
3110122120021021020011221002221
4111323303000113231203100
5100121013324341101040
6541100513115350424
726214411515201335
oct2573630027554320
9418507236157087
1096468192909520
1128812a26a82173
12a9a0222752414
1341a9bb08cc9a3
1419b712a68a98c
15b2455bd6474a
hex57bcc05ed8d0

96468192909520 has 40 divisors (see below), whose sum is σ = 224289850412520. Its totient is φ = 38587053181440.

The previous prime is 96468192909469. The next prime is 96468192909559. The reversal of 96468192909520 is 2590929186469.

It can be written as a sum of positive squares in 4 ways, for example, as 15965810284176 + 80502382625344 = 3995724^2 + 8972312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×964681929095202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96468192909520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10727926 + ... + 17550634.

It is an arithmetic number, because the mean of its divisors is an integer number (5607246260313).

Almost surely, 296468192909520 is an apocalyptic number.

It is an amenable number.

96468192909520 is an abundant number, since it is smaller than the sum of its proper divisors (127821657503000).

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

96468192909520 is a wasteful number, since it uses less digits than its factorization.

96468192909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999463 (or 6999457 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 70.

The spelling of 96468192909520 in words is "ninety-six trillion, four hundred sixty-eight billion, one hundred ninety-two million, nine hundred nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 176741 353482 706964 883705 1413928 1767410 2827856 3534820 6822709 7069640 13645418 14139280 27290836 34113545 54581672 68227090 109163344 136454180 272908360 545816720 1205852411369 2411704822738 4823409645476 6029262056845 9646819290952 12058524113690 19293638581904 24117048227380 48234096454760 96468192909520