Search a number
-
+
1270100966464 = 26118970928591
BaseRepresentation
bin10010011110110111111…
…010101011110001000000
311111102100112001011210201
4102132313322223301000
5131302131321411324
62411250515334544
7160522200041401
oct22366772536100
94442315034721
101270100966464
1144a71297a820
121861a22b1454
1392a01923a15
144568a7039a8
15230890e2444
hex127b7eabc40

1270100966464 has 112 divisors (see below), whose sum is σ = 2784391891200. Its totient is φ = 570006835200.

The previous prime is 1270100966423. The next prime is 1270100966527. The reversal of 1270100966464 is 4646690010721.

It is a super-2 number, since 2×12701009664642 (a number of 25 digits) contains 22 as substring.

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, 44408809 + ... + 44437399.

Almost surely, 21270100966464 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 1270100966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392195945600).

1270100966464 is an abundant number, since it is smaller than the sum of its proper divisors (1514290924736).

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

1270100966464 is a wasteful number, since it uses less digits than its factorization.

1270100966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29412 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1270100966464 in words is "one trillion, two hundred seventy billion, one hundred million, nine hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 176 178 352 356 704 709 712 979 1418 1424 1958 2836 2848 3916 5672 5696 7799 7832 11344 15598 15664 22688 28591 31196 31328 45376 57182 62392 62656 63101 114364 124784 126202 228728 249568 252404 314501 457456 499136 504808 629002 694111 914912 1009616 1258004 1388222 1829824 2019232 2516008 2544599 2776444 4038464 5032016 5089198 5552888 10064032 10178396 11105776 20128064 20271019 20356792 22211552 27990589 40542038 40713584 44423104 55981178 81084076 81427168 111962356 162168152 162854336 222981209 223924712 324336304 445962418 447849424 648672608 891924836 895698848 1297345216 1783849672 1791397696 1804120691 3567699344 3608241382 7135398688 7216482764 14270797376 14432965528 19845327601 28865931056 39690655202 57731862112 79381310404 115463724224 158762620808 317525241616 635050483232 1270100966464