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42148060992 = 263412764019
BaseRepresentation
bin100111010000001110…
…000101111101000000
311000210101000100020000
4213100032011331000
51142304400422432
631210151120000
73021316415202
oct472016057500
9130711010200
1042148060992
1116969533064
128203373000
133c890ca07b
14207b9a8772
15116a39457c
hex9d0385f40

42148060992 has 140 divisors (see below), whose sum is σ = 125925803520. Its totient is φ = 13938511104.

The previous prime is 42148060957. The next prime is 42148061003. The reversal of 42148060992 is 29906084124.

42148060992 is a `hidden beast` number, since 4 + 21 + 480 + 60 + 9 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 626359 + ... + 690377.

Almost surely, 242148060992 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 42148060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62962901760).

42148060992 is an abundant number, since it is smaller than the sum of its proper divisors (83777742528).

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

42148060992 is a wasteful number, since it uses less digits than its factorization.

42148060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64170 (or 64151 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42148060992 in words is "forty-two billion, one hundred forty-eight million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 144 162 192 216 254 288 324 381 432 508 576 648 762 864 1016 1143 1296 1524 1728 2032 2286 2592 3048 3429 4064 4572 5184 6096 6858 8128 9144 10287 12192 13716 18288 20574 24384 27432 36576 41148 54864 64019 73152 82296 109728 128038 164592 192057 219456 256076 329184 384114 512152 576171 658368 768228 1024304 1152342 1536456 1728513 2048608 2304684 3072912 3457026 4097216 4609368 5185539 6145824 6914052 8130413 9218736 10371078 12291648 13828104 16260826 18437472 20742156 24391239 27656208 32521652 36874944 41484312 48782478 55312416 65043304 73173717 82968624 97564956 110624832 130086608 146347434 165937248 195129912 219521151 260173216 292694868 331874496 390259824 439042302 520346432 585389736 658563453 780519648 878084604 1170779472 1317126906 1561039296 1756169208 2341558944 2634253812 3512338416 4683117888 5268507624 7024676832 10537015248 14049353664 21074030496 42148060992