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20646603660150 = 23352132971743769
BaseRepresentation
bin1001011000111001010010…
…11110100001101101110110
32201002210111022022210101000
410230130221132201231312
510201233221014111100
6111524530242344130
74230445041321126
oct454345136415566
981083438283330
1020646603660150
1166401a2568246
12239554995b046
13b69c7416a0c0
1451542db38c86
1525c0eb315900
hex12c7297a1b76

20646603660150 has 768 divisors, whose sum is σ = 64444875264000. Its totient is φ = 4825084723200.

The previous prime is 20646603660149. The next prime is 20646603660173. The reversal of 20646603660150 is 5106630664602.

20646603660150 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 6 + 6 + 0 + 36 + 601 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20646603660096 and 20646603660105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26848638966 + ... + 26848639734.

It is an arithmetic number, because the mean of its divisors is an integer number (83912598000).

Almost surely, 220646603660150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20646603660150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32222437632000).

20646603660150 is an abundant number, since it is smaller than the sum of its proper divisors (43798271603850).

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

20646603660150 is a wasteful number, since it uses less digits than its factorization.

20646603660150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 20646603660150 in words is "twenty trillion, six hundred forty-six billion, six hundred three million, six hundred sixty thousand, one hundred fifty".