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21357127153437 = 31710777315313307
BaseRepresentation
bin1001101101100100101111…
…11110100011011100011101
32210121201110220122001000120
410312302113332203130131
510244403344022402222
6113231155002545153
74333000343342115
oct466622776433435
983551426561016
1021357127153437
116894563554129
12248b1a28081b9
13bbbc788b3a3a
1453b994912045
152708341d515c
hex136c97fa371d

21357127153437 has 64 divisors (see below), whose sum is σ = 30501519750144. Its totient is φ = 13245471544320.

The previous prime is 21357127153379. The next prime is 21357127153513. The reversal of 21357127153437 is 73435172175312.

It is not a de Polignac number, because 21357127153437 - 28 = 21357127153181 is a prime.

It is a super-2 number, since 2×213571271534372 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 21357127153437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21357127153237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6458155938 + ... + 6458159244.

It is an arithmetic number, because the mean of its divisors is an integer number (476586246096).

Almost surely, 221357127153437 is an apocalyptic number.

It is an amenable number.

21357127153437 is a deficient number, since it is larger than the sum of its proper divisors (9144392596707).

21357127153437 is a wasteful number, since it uses less digits than its factorization.

21357127153437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738.

The product of its digits is 3704400, while the sum is 51.

The spelling of 21357127153437 in words is "twenty-one trillion, three hundred fifty-seven billion, one hundred twenty-seven million, one hundred fifty-three thousand, four hundred thirty-seven".

Divisors: 1 3 17 51 107 321 773 1531 1819 2319 3307 4593 5457 9921 13141 26027 39423 56219 78081 82711 163817 168657 248133 353849 491451 1061547 1183463 1406087 2556311 2784889 3550389 4218261 5063017 6015433 7668933 8354667 15189051 18046299 20118871 43457287 60356613 86071289 126630541 130371861 258213867 273525277 379891623 541742819 820575831 1625228457 2152719197 3913712141 4649929709 6458157591 9209627923 11741136423 13949789127 27628883769 66533106397 199599319191 418767199087 1256301597261 7119042384479 21357127153437