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1972162164540 = 2235193155805381
BaseRepresentation
bin11100101100101110000…
…001100111011100111100
320222112111101001021202010
4130230232001213130330
5224302442003231130
64105555423331220
7262325005543641
oct34545601473474
96875441037663
101972162164540
116a0431144aa7
1227a275150b10
13113c88114399
146b64b673dc8
15364790ea0b0
hex1cb2e06773c

1972162164540 has 96 divisors (see below), whose sum is σ = 6000194672640. Its totient is φ = 482158483200.

The previous prime is 1972162164473. The next prime is 1972162164589. The reversal of 1972162164540 is 454612612791.

It is a self number, because there is not a number n which added to its sum of digits gives 1972162164540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27867351 + ... + 27938030.

It is an arithmetic number, because the mean of its divisors is an integer number (62502027840).

Almost surely, 21972162164540 is an apocalyptic number.

1972162164540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972162164540 is an abundant number, since it is smaller than the sum of its proper divisors (4028032508100).

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

1972162164540 is a wasteful number, since it uses less digits than its factorization.

1972162164540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55805443 (or 55805441 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1972162164540 in words is "one trillion, nine hundred seventy-two billion, one hundred sixty-two million, one hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8835 11780 17670 35340 55805381 111610762 167416143 223221524 279026905 334832286 558053810 669664572 837080715 1060302239 1116107620 1674161430 1729966811 2120604478 3180906717 3348322860 3459933622 4241208956 5189900433 5301511195 6361813434 6919867244 8649834055 10379800866 10603022390 12723626868 15904533585 17299668110 20759601732 21206044780 25949502165 31809067170 32869369409 34599336220 51899004330 63618134340 65738738818 98608108227 103798008660 131477477636 164346847045 197216216454 328693694090 394432432908 493040541135 657387388180 986081082270 1972162164540