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15402593940 = 22355361271293
BaseRepresentation
bin11100101100001000…
…01110111010010100
31110202102200211202020
432112010032322110
5223021031001230
611024215013140
71053455613456
oct162604167224
943672624666
1015402593940
1165943a9888
122b9a36a1b0
1315b6088216
14a618a22d6
1560233b810
hex39610ee94

15402593940 has 192 divisors, whose sum is σ = 44979121152. Its totient is φ = 3935692800.

The previous prime is 15402593893. The next prime is 15402593981. The reversal of 15402593940 is 4939520451.

It is a super-4 number, since 4×154025939404 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15402593892 and 15402593901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52568434 + ... + 52568726.

It is an arithmetic number, because the mean of its divisors is an integer number (234266256).

Almost surely, 215402593940 is an apocalyptic number.

15402593940 is a gapful number since it is divisible by the number (10) 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 15402593940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489560576).

15402593940 is an abundant number, since it is smaller than the sum of its proper divisors (29576527212).

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

15402593940 is a wasteful number, since it uses less digits than its factorization.

15402593940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 15402593940 in words is "fifteen billion, four hundred two million, five hundred ninety-three thousand, nine hundred forty".