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20694434432 = 27777329879
BaseRepresentation
bin10011010001011111…
…000000001010000000
31222102020020012012112
4103101133000022000
5314340233400212
613301253314452
71331553535040
oct232137001200
958366205175
1020694434432
11885a517981
124016635a28
131c4a518999
141004611720
15811bde422
hex4d17c0280

20694434432 has 64 divisors (see below), whose sum is σ = 47179324800. Its totient is φ = 8857273344.

The previous prime is 20694434401. The next prime is 20694434461. The reversal of 20694434432 is 23443449602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20694434432.

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, 677669 + ... + 707547.

It is an arithmetic number, because the mean of its divisors is an integer number (737176950).

Almost surely, 220694434432 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 20694434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23589662400).

20694434432 is an abundant number, since it is smaller than the sum of its proper divisors (26484890368).

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

20694434432 is an equidigital number, since it uses as much as digits as its factorization.

20694434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30673 (or 30661 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 20694434432 in words is "twenty billion, six hundred ninety-four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 773 896 1546 3092 5411 6184 10822 12368 21644 24736 29879 43288 49472 59758 86576 98944 119516 173152 209153 239032 346304 418306 478064 692608 836612 956128 1673224 1912256 3346448 3824512 6692896 13385792 23096467 26771584 46192934 92385868 161675269 184771736 323350538 369543472 646701076 739086944 1293402152 1478173888 2586804304 2956347776 5173608608 10347217216 20694434432