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97414465100 = 225231157200153
BaseRepresentation
bin101101010111001011…
…0101100011001001100
3100022102222111120010212
41122232112230121030
53044001100340400
6112430202021552
710016010201611
oct1325626543114
9308388446125
1097414465100
1138349a204a7
1216a67aa78b8
139255c62834
144a01906508
152802265335
hex16ae5ac64c

97414465100 has 72 divisors (see below), whose sum is σ = 219599361408. Its totient is φ = 37468454400.

The previous prime is 97414465091. The next prime is 97414465103. The reversal of 97414465100 is 156441479.

It is not an unprimeable number, because it can be changed into a prime (97414465103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386624 + ... + 586776.

Almost surely, 297414465100 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 97414465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109799680704).

97414465100 is an abundant number, since it is smaller than the sum of its proper divisors (122184896308).

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

97414465100 is a wasteful number, since it uses less digits than its factorization.

97414465100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200355 (or 200348 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 97414465100 in words is "ninety-seven billion, four hundred fourteen million, four hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 157 310 314 620 628 775 785 1550 1570 3100 3140 3925 4867 7850 9734 15700 19468 24335 48670 97340 121675 200153 243350 400306 486700 800612 1000765 2001530 4003060 5003825 6204743 10007650 12409486 20015300 24818972 31023715 31424021 62047430 62848042 124094860 125696084 155118575 157120105 310237150 314240210 620474300 628480420 785600525 974144651 1571201050 1948289302 3142402100 3896578604 4870723255 9741446510 19482893020 24353616275 48707232550 97414465100