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96820711680 = 2835711232619
BaseRepresentation
bin101101000101011110…
…1101101000100000000
3100020220121020202120110
41122022331231010000
53041242100233210
6112251231511320
76665210320230
oct1321275550400
9306817222513
1096820711680
11380748497a0
1216921088540
13918cc43254
144986b07cc0
1527ba07d420
hex168af6d100

96820711680 has 864 divisors, whose sum is σ = 403664163840. Its totient is φ = 19212779520.

The previous prime is 96820711639. The next prime is 96820711739. The reversal of 96820711680 is 8611702869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156414411 + ... + 156415029.

Almost surely, 296820711680 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 96820711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201832081920).

96820711680 is an abundant number, since it is smaller than the sum of its proper divisors (306843452160).

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

96820711680 is a wasteful number, since it uses less digits than its factorization.

96820711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 96820711680 in words is "ninety-six billion, eight hundred twenty million, seven hundred eleven thousand, six hundred eighty".