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148959769600 = 2105247123803
BaseRepresentation
bin1000101010111010110…
…0011011010000000000
3112020111021002100000201
42022232230123100000
54420032200111400
6152233044454544
713522235102365
oct2125654332000
9466437070021
10148959769600
115819a9a7704
1224a523aa454
131107bbc7905
1472d157046c
153d1c60306a
hex22aeb1b400

148959769600 has 132 divisors (see below), whose sum is σ = 377099060544. Its totient is φ = 58315694080.

The previous prime is 148959769573. The next prime is 148959769643. The reversal of 148959769600 is 6967959841.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141299 + ... + 1265101.

Almost surely, 2148959769600 is an apocalyptic number.

148959769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148959769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188549530272).

148959769600 is an abundant number, since it is smaller than the sum of its proper divisors (228139290944).

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

148959769600 is a wasteful number, since it uses less digits than its factorization.

148959769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123880 (or 123857 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 148959769600 in words is "one hundred forty-eight billion, nine hundred fifty-nine million, seven hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 128 160 188 200 235 256 320 376 400 470 512 640 752 800 940 1024 1175 1280 1504 1600 1880 2350 2560 3008 3200 3760 4700 5120 6016 6400 7520 9400 12032 12800 15040 18800 24064 25600 30080 37600 48128 60160 75200 120320 123803 150400 240640 247606 300800 495212 601600 619015 990424 1203200 1238030 1980848 2476060 3095075 3961696 4952120 5818741 6190150 7923392 9904240 11637482 12380300 15846784 19808480 23274964 24760600 29093705 31693568 39616960 46549928 49521200 58187410 63387136 79233920 93099856 99042400 116374820 126774272 145468525 158467840 186199712 198084800 232749640 290937050 316935680 372399424 396169600 465499280 581874100 633871360 744798848 792339200 930998560 1163748200 1489597696 1584678400 1861997120 2327496400 2979195392 3169356800 3723994240 4654992800 5958390784 7447988480 9309985600 14895976960 18619971200 29791953920 37239942400 74479884800 148959769600