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1001472541696 = 21011228432
BaseRepresentation
bin11101001001011000110…
…10100100010000000000
310112201222100021021221101
432210230122210100000
5112402003432313241
62044023052104144
7132232265102344
oct16445432442000
93481870237841
101001472541696
113567a4161300
12142113165054
13735913959a3
1436685c3d624
151b0b5b89e31
hexe92c6a4400

1001472541696 has 99 divisors (see below), whose sum is σ = 2201283554743. Its totient is φ = 455054673920.

The previous prime is 1001472541669. The next prime is 1001472541697. The reversal of 1001472541696 is 6961452741001.

The square root of 1001472541696 is 1000736.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001472541697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 352257651 + ... + 352260493.

Almost surely, 21001472541696 is an apocalyptic number.

1001472541696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1001472541696 is the 1000736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001472541696

1001472541696 is an abundant number, since it is smaller than the sum of its proper divisors (1199811013047).

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

1001472541696 is an frugal number, since it uses more digits than its factorization.

1001472541696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1001472541696 in words is "one trillion, one billion, four hundred seventy-two million, five hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 2843 3872 5632 5686 7744 11264 11372 15488 22744 30976 31273 45488 61952 62546 90976 123904 125092 181952 250184 344003 363904 500368 688006 727808 1000736 1376012 1455616 2001472 2752024 2911232 4002944 5504048 8005888 8082649 11008096 16011776 16165298 22016192 32023552 32330596 44032384 64661192 88064768 88909139 129322384 176129536 177818278 258644768 352259072 355636556 517289536 711273112 978000529 1034579072 1422546224 1956001058 2069158144 2845092448 3912002116 4138316288 5690184896 7824004232 8276632576 11380369792 15648008464 22760739584 31296016928 45521479168 62592033856 91042958336 125184067712 250368135424 500736270848 1001472541696