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84532953132 = 223310122772
BaseRepresentation
bin100111010111010001…
…1101000000000101100
322002012020122221201000
41032232203220000230
52341110414000012
6102500042320300
76051543150255
oct1165643500054
9262166587630
1084532953132
1132939714941
1214471ab9090
137c822a87c4
14413cbc1b2c
1522eb41addc
hex13ae8e802c

84532953132 has 108 divisors (see below), whose sum is σ = 222152873880. Its totient is φ = 27797947200.

The previous prime is 84532953061. The next prime is 84532953187. The reversal of 84532953132 is 23135923548.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

84532953132 is a `hidden beast` number, since 8 + 4 + 5 + 329 + 5 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305172978 + ... + 305173254.

Almost surely, 284532953132 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 84532953132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111076436940).

84532953132 is an abundant number, since it is smaller than the sum of its proper divisors (137619920748).

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

84532953132 is a wasteful number, since it uses less digits than its factorization.

84532953132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 383 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 84532953132 in words is "eighty-four billion, five hundred thirty-two million, nine hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 277 303 404 554 606 831 909 1108 1212 1662 1818 2493 2727 3324 3636 4986 5454 7479 9972 10201 10908 14958 20402 27977 29916 30603 40804 55954 61206 76729 83931 91809 111908 122412 153458 167862 183618 230187 251793 275427 306916 335724 367236 460374 503586 550854 690561 755379 920748 1007172 1101708 1381122 1510758 2071683 2762244 2825677 3021516 4143366 5651354 7749629 8286732 8477031 11302708 15499258 16954062 23248887 25431093 30998516 33908124 46497774 50862186 69746661 76293279 92995548 101724372 139493322 152586558 209239983 278986644 305173116 418479966 782712529 836959932 1565425058 2348137587 3130850116 4696275174 7044412761 9392550348 14088825522 21133238283 28177651044 42266476566 84532953132