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100406106556 = 22719379497977
BaseRepresentation
bin101110110000010101…
…0111001100110111100
3100121011110210200201021
41131200222321212330
53121112430402211
6114043111153524
710153104552430
oct1354052714674
9317143720637
10100406106556
11396446a1a58
12175619758a4
1396119ab692
144c06d749c0
152929c07771
hex1760ab99bc

100406106556 has 48 divisors (see below), whose sum is σ = 211939436800. Its totient is φ = 40658744448.

The previous prime is 100406106551. The next prime is 100406106611. The reversal of 100406106556 is 655601604001.

It is a happy number.

It is a super-2 number, since 2×1004061065562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100406106551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47361 + ... + 450616.

Almost surely, 2100406106556 is an apocalyptic number.

It is an amenable number.

100406106556 is an abundant number, since it is smaller than the sum of its proper divisors (111533330244).

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

100406106556 is a wasteful number, since it uses less digits than its factorization.

100406106556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498386 (or 498384 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 100406106556 in words is "one hundred billion, four hundred six million, one hundred six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 379 532 758 1516 2653 5306 7201 10612 14402 28804 50407 100814 201628 497977 995954 1991908 3485839 6971678 9461563 13943356 18923126 37846252 66230941 132461882 188733283 264923764 377466566 754933132 1321132981 2642265962 3585932377 5284531924 7171864754 14343729508 25101526639 50203053278 100406106556