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5400419473056 = 253315417334993
BaseRepresentation
bin100111010010110001000…
…0101011001011010100000
3201010021102111222221021010
41032211202011121122200
51201440024341114211
615252530215300520
71065111300060516
oct116454205313240
921107374887233
105400419473056
1117a233a005203
1273277967a740
133023465a14ca
1414954b53c4b6
1595725d784a6
hex4e9621596a0

5400419473056 has 96 divisors (see below), whose sum is σ = 14636139775488. Its totient is φ = 1741744005120.

The previous prime is 5400419473049. The next prime is 5400419473061. The reversal of 5400419473056 is 6503749140045.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5400419472996 and 5400419473014.

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, 15953496 + ... + 16288488.

It is an arithmetic number, because the mean of its divisors is an integer number (152459789328).

Almost surely, 25400419473056 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 5400419473056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318069887744).

5400419473056 is an abundant number, since it is smaller than the sum of its proper divisors (9235720302432).

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

5400419473056 is a wasteful number, since it uses less digits than its factorization.

5400419473056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340454 (or 340446 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 5400419473056 in words is "five trillion, four hundred billion, four hundred nineteen million, four hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 5417 10834 16251 21668 32502 43336 65004 86672 130008 167927 173344 260016 334993 335854 503781 520032 669986 671708 1004979 1007562 1339972 1343416 2009958 2015124 2679944 2686832 4019916 4030248 5359888 5373664 8039832 8060496 10384783 10719776 16079664 16120992 20769566 31154349 32159328 41539132 62308698 83078264 124617396 166156528 249234792 332313056 498469584 996939168 1814657081 3629314162 5443971243 7258628324 10887942486 14517256648 21775884972 29034513296 43551769944 56254369511 58069026592 87103539888 112508739022 168763108533 174207079776 225017478044 337526217066 450034956088 675052434132 900069912176 1350104868264 1800139824352 2700209736528 5400419473056