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1297536951072 = 25379259365981
BaseRepresentation
bin10010111000011011001…
…110101010001100100000
311121001011120200121021210
4102320123032222030200
5132224323424413242
62432025155550120
7162513114051615
oct22703316521440
94531146617253
101297536951072
1146031186706a
1218b57a5bb340
1395484a34b3b
1446b303d650c
1523b42a97d9c
hex12e1b3aa320

1297536951072 has 96 divisors (see below), whose sum is σ = 3450531329280. Its totient is φ = 426866319360.

The previous prime is 1297536950971. The next prime is 1297536951083. The reversal of 1297536951072 is 2701596357921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19632322 + ... + 19698302.

It is an arithmetic number, because the mean of its divisors is an integer number (35943034680).

Almost surely, 21297536951072 is an apocalyptic number.

1297536951072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297536951072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725265664640).

1297536951072 is an abundant number, since it is smaller than the sum of its proper divisors (2152994378208).

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

1297536951072 is a wasteful number, since it uses less digits than its factorization.

1297536951072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68666 (or 68658 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 1297536951072 in words is "one trillion, two hundred ninety-seven billion, five hundred thirty-six million, nine hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 2593 3792 5186 7584 7779 10372 15558 20744 31116 41488 62232 65981 82976 124464 131962 197943 204847 248928 263924 395886 409694 527848 614541 791772 819388 1055696 1229082 1583544 1638776 2111392 2458164 3167088 3277552 4916328 5212499 6334176 6555104 9832656 10424998 15637497 19665312 20849996 31274994 41699992 62549988 83399984 125099976 166799968 171088733 250199952 342177466 500399904 513266199 684354932 1026532398 1368709864 2053064796 2737419728 4106129592 5474839456 8212259184 13516009907 16424518368 27032019814 40548029721 54064039628 81096059442 108128079256 162192118884 216256158512 324384237768 432512317024 648768475536 1297536951072