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640106946432 = 2732555648391
BaseRepresentation
bin10010101000010010101…
…10001101111110000000
32021012020011011000220200
421110021112031332000
540441414334241212
61210021105205200
764150306162002
oct11241126157600
92235204130820
10640106946432
11227516758018
12a4082630800
1348491c16285
1422da4b30372
15119b5e2c6dc
hex950958df80

640106946432 has 48 divisors (see below), whose sum is σ = 1841974419480. Its totient is φ = 213368981760.

The previous prime is 640106946431. The next prime is 640106946449. The reversal of 640106946432 is 234649601046.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640106946431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277823044 + ... + 277825347.

Almost surely, 2640106946432 is an apocalyptic number.

It is an amenable number.

640106946432 is an abundant number, since it is smaller than the sum of its proper divisors (1201867473048).

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

640106946432 is a wasteful number, since it uses less digits than its factorization.

640106946432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555648411 (or 555648396 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 640106946432 in words is "six hundred forty billion, one hundred six million, nine hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 555648391 1111296782 1666945173 2222593564 3333890346 4445187128 5000835519 6667780692 8890374256 10001671038 13335561384 17780748512 20003342076 26671122768 35561497024 40006684152 53342245536 71122994048 80013368304 106684491072 160026736608 213368982144 320053473216 640106946432